Normal Edge launch along with Private Edge mode. (Random issue)

Either of these three options will work,

function launch()
{
    let path = "C:\\Program Files (x86)\\Microsoft\\Edge\\Application\\msedge.exe";
    let option =  "-inprivate";
    let command = `"${path}" ${option}`;
    Log.Message(`Command is '${command}'`);
    
    WshShell.Run(command);
    
    getActiveXObject("WScript.Shell").Run(command);

    Sys.OleObject("WScript.Shell").Run(command);
}

Note, the Run method has no parameters. You also need to ensure your Edge is configured correctly, as it can run in the background.